Here is a farm. Here is a farmer that counts how many animal live in his farm: a camels, b sheep, c green cockroaches. Occurs that a^{n} + b^{n} = c^{n}. n is given. You are to find all the rest.

### Input

### Output

Three different integers (a, b and c) such that a^{n} + b^{n} = c^{n}, 1 ≤ a, b, c ≤ 100. If there are several solutions you should output the one where a is minimal. If there are several solutions with the minimal a you should output the one with minimal b, and so on. Output −1 if there is no solution.

### Samples

**Problem Author: **Pierre Fermat

**Problem Source: **USU Junior Championship March'2005